Random sequential adsorption on a 3* infinity lattice: an exact solution

This is the authors' abstract. We don't add key points for this paper.

The dynamics of a random sequential adsorption process on a quasi-one-dimensional lattice with three rows is solved exactly. The long-time behaviour of the coverage density is rho (t)= 1 / 3 -2 exp(-( 2 / 3 +t))/9. It is shown that the number of connected lattice animals increases like n! 2 3/, indicating that most two-dimensional lattice animals are non-compact.